$\textrm {C}^*$-Algebras and Finite-Dimensional Approximations

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A01=Narutaka Ozawa
A01=Nathanial P. Brown
Author_Narutaka Ozawa
Author_Nathanial P. Brown
Category=PBK
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Product details

  • ISBN 9781470479770
  • Publication Date: 30 Dec 2008
  • Publisher: American Mathematical Society
  • Publication City/Country: US
  • Product Form: Paperback
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$\mathrm{C}^*$-approximation theory has provided the foundation for many of the most important conceptual breakthroughs and applications of operator algebras. This book systematically studies (most of) the numerous types of approximation properties that have been important in recent years: nuclearity, exactness, quasidiagonality, local reflexivity, and others. Moreover, it contains user-friendly proofs, insofar as that is possible, of many fundamental results that were previously quite hard to extract from the literature. Indeed, perhaps the most important novelty of the first ten chapters is an earnest attempt to explain some fundamental, but difficult and technical, results as painlessly as possible. The latter half of the book presents related topics and applications-written with researchers and advanced, well-trained students in mind. The authors have tried to meet the needs both of students wishing to learn the basics of an important area of research as well as researchers who desire a fairly comprehensive reference for the theory and applications of $\mathrm{C}^*$-approximation theory.
Nathanial P. Brown, Pennsylvania State University, State College, PA.

Narutaka Ozawa, University of California, Los Angeles, CA, and University of Tokyo, Japan.

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